TSTP Solution File: LCL224-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:47:43 EDT 2023
% Result : Unsatisfiable 182.59s 168.09s
% Output : CNFRefutation 182.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 66 ( 28 unt; 7 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 44 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 144 (; 144 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > r > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(r,type,
r: $i ).
tff(theorem,type,
theorem: $i > $o ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(q,type,
q: $i ).
tff(axiom,type,
axiom: $i > $o ).
tff(p,type,
p: $i ).
tff(f_57,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_53,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Z,Y] :
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file(unknown,unknown) ).
tff(f_86,axiom,
~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
file(unknown,unknown) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8,plain,
! [A_6,B_7,C_8] : axiom(or(not(or(A_6,or(B_7,C_8))),or(B_7,or(A_6,C_8)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_121,plain,
! [Y_48,Z_49,X_50] :
( ~ theorem(or(not(Y_48),Z_49))
| ~ axiom(or(not(X_50),Y_48))
| theorem(or(not(X_50),Z_49)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_366,plain,
! [X_73,Y_74,Z_75] :
( ~ axiom(or(not(X_73),Y_74))
| theorem(or(not(X_73),Z_75))
| ~ axiom(or(not(Y_74),Z_75)) ),
inference(resolution,[status(thm)],[c_12,c_121]) ).
tff(c_465,plain,
! [A_86,Z_87,B_88] :
( theorem(or(not(A_86),Z_87))
| ~ axiom(or(not(or(B_88,A_86)),Z_87)) ),
inference(resolution,[status(thm)],[c_4,c_366]) ).
tff(c_487,plain,
! [A_89] : theorem(or(not(A_89),A_89)),
inference(resolution,[status(thm)],[c_2,c_465]) ).
tff(c_56,plain,
! [A_32,B_33,C_34] : axiom(or(not(or(A_32,or(B_33,C_34))),or(B_33,or(A_32,C_34)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_14,plain,
! [Y_14,X_13] :
( ~ theorem(Y_14)
| ~ axiom(or(not(Y_14),X_13))
| theorem(X_13) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_60,plain,
! [A_32,B_33,C_34] :
( ~ theorem(or(A_32,or(B_33,C_34)))
| theorem(or(B_33,or(A_32,C_34))) ),
inference(resolution,[status(thm)],[c_56,c_14]) ).
tff(c_713,plain,
! [B_122,C_123] : theorem(or(B_122,or(not(or(B_122,C_123)),C_123))),
inference(resolution,[status(thm)],[c_487,c_60]) ).
tff(c_36,plain,
! [A_25,B_26] : axiom(or(not(or(A_25,B_26)),or(B_26,A_25))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_40,plain,
! [A_25,B_26] :
( ~ theorem(or(A_25,B_26))
| theorem(or(B_26,A_25)) ),
inference(resolution,[status(thm)],[c_36,c_14]) ).
tff(c_724,plain,
! [B_122,C_123] : theorem(or(or(not(or(B_122,C_123)),C_123),B_122)),
inference(resolution,[status(thm)],[c_713,c_40]) ).
tff(c_22,plain,
! [Y_22,X_23] :
( ~ theorem(Y_22)
| ~ axiom(or(not(Y_22),X_23))
| theorem(X_23) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_30,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_22]) ).
tff(c_79,plain,
! [A_39,B_40,C_41] :
( ~ theorem(or(A_39,or(B_40,C_41)))
| theorem(or(B_40,or(A_39,C_41))) ),
inference(resolution,[status(thm)],[c_56,c_14]) ).
tff(c_94,plain,
! [B_40,B_3,C_41] :
( theorem(or(B_40,or(B_3,C_41)))
| ~ theorem(or(B_40,C_41)) ),
inference(resolution,[status(thm)],[c_30,c_79]) ).
tff(c_142,plain,
! [B_51,B_52,C_53] :
( theorem(or(B_51,or(B_52,C_53)))
| ~ theorem(or(B_51,C_53)) ),
inference(resolution,[status(thm)],[c_30,c_79]) ).
tff(c_29,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_171,plain,
! [B_57,C_58] :
( theorem(or(B_57,C_58))
| ~ theorem(or(or(B_57,C_58),C_58)) ),
inference(resolution,[status(thm)],[c_142,c_29]) ).
tff(c_7977,plain,
! [B_971,B_972,C_973] :
( theorem(or(B_971,or(B_972,C_973)))
| ~ theorem(or(or(B_971,or(B_972,C_973)),C_973)) ),
inference(resolution,[status(thm)],[c_94,c_171]) ).
tff(c_8839,plain,
! [B_974,B_975] : theorem(or(not(or(B_974,or(B_975,B_974))),or(B_975,B_974))),
inference(resolution,[status(thm)],[c_724,c_7977]) ).
tff(c_16,plain,
! [Y_17,Z_16,X_15] :
( ~ theorem(or(not(Y_17),Z_16))
| ~ axiom(or(not(X_15),Y_17))
| theorem(or(not(X_15),Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_16208,plain,
! [X_1736,B_1737,B_1738] :
( ~ axiom(or(not(X_1736),or(B_1737,or(B_1738,B_1737))))
| theorem(or(not(X_1736),or(B_1738,B_1737))) ),
inference(resolution,[status(thm)],[c_8839,c_16]) ).
tff(c_16236,plain,
! [A_1739,C_1740] : theorem(or(not(or(A_1739,or(C_1740,C_1740))),or(A_1739,C_1740))),
inference(resolution,[status(thm)],[c_8,c_16208]) ).
tff(c_17539,plain,
! [X_1864,A_1865,C_1866] :
( ~ axiom(or(not(X_1864),or(A_1865,or(C_1866,C_1866))))
| theorem(or(not(X_1864),or(A_1865,C_1866))) ),
inference(resolution,[status(thm)],[c_16236,c_16]) ).
tff(c_17563,plain,
! [C_1866,B_5] : theorem(or(not(or(or(C_1866,C_1866),B_5)),or(B_5,C_1866))),
inference(resolution,[status(thm)],[c_6,c_17539]) ).
tff(c_211,plain,
! [A_59,B_60,C_61] : axiom(or(not(or(not(A_59),B_60)),or(not(or(C_61,A_59)),or(C_61,B_60)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_332,plain,
! [A_70,B_71,C_72] :
( ~ theorem(or(not(A_70),B_71))
| theorem(or(not(or(C_72,A_70)),or(C_72,B_71))) ),
inference(resolution,[status(thm)],[c_211,c_14]) ).
tff(c_1219,plain,
! [X_190,C_191,A_192,B_193] :
( ~ axiom(or(not(X_190),or(C_191,A_192)))
| theorem(or(not(X_190),or(C_191,B_193)))
| ~ theorem(or(not(A_192),B_193)) ),
inference(resolution,[status(thm)],[c_332,c_16]) ).
tff(c_5372,plain,
! [A_637,B_638,C_639,B_640] :
( theorem(or(not(or(A_637,or(B_638,C_639))),or(B_638,B_640)))
| ~ theorem(or(not(or(A_637,C_639)),B_640)) ),
inference(resolution,[status(thm)],[c_8,c_1219]) ).
tff(c_25356,plain,
! [X_2592,B_2590,A_2589,C_2593,B_2591] :
( ~ axiom(or(not(X_2592),or(A_2589,or(B_2590,C_2593))))
| theorem(or(not(X_2592),or(B_2590,B_2591)))
| ~ theorem(or(not(or(A_2589,C_2593)),B_2591)) ),
inference(resolution,[status(thm)],[c_5372,c_16]) ).
tff(c_25567,plain,
! [B_2616,C_2617,B_2618,B_2619] :
( theorem(or(not(or(B_2616,C_2617)),or(B_2616,B_2618)))
| ~ theorem(or(not(or(B_2619,C_2617)),B_2618)) ),
inference(resolution,[status(thm)],[c_4,c_25356]) ).
tff(c_27113,plain,
! [B_2620,B_2621,C_2622] : theorem(or(not(or(B_2620,B_2621)),or(B_2620,or(B_2621,C_2622)))),
inference(resolution,[status(thm)],[c_17563,c_25567]) ).
tff(c_27136,plain,
! [B_2623,B_2624,C_2625] : theorem(or(B_2623,or(not(or(B_2623,B_2624)),or(B_2624,C_2625)))),
inference(resolution,[status(thm)],[c_27113,c_60]) ).
tff(c_27285,plain,
! [B_2646,B_2647,C_2648] : theorem(or(or(not(or(B_2646,B_2647)),or(B_2647,C_2648)),B_2646)),
inference(resolution,[status(thm)],[c_27136,c_40]) ).
tff(c_157,plain,
! [B_52,C_53] :
( theorem(or(B_52,C_53))
| ~ theorem(or(or(B_52,C_53),C_53)) ),
inference(resolution,[status(thm)],[c_142,c_29]) ).
tff(c_27309,plain,
! [B_2649,C_2650] : theorem(or(not(or(or(B_2649,C_2650),B_2649)),or(B_2649,C_2650))),
inference(resolution,[status(thm)],[c_27285,c_157]) ).
tff(c_31670,plain,
! [X_3192,B_3193,C_3194] :
( ~ axiom(or(not(X_3192),or(or(B_3193,C_3194),B_3193)))
| theorem(or(not(X_3192),or(B_3193,C_3194))) ),
inference(resolution,[status(thm)],[c_27309,c_16]) ).
tff(c_31688,plain,
! [A_4,C_3194] : theorem(or(not(or(A_4,or(A_4,C_3194))),or(A_4,C_3194))),
inference(resolution,[status(thm)],[c_6,c_31670]) ).
tff(c_10,plain,
! [A_9,B_10,C_11] : axiom(or(not(or(not(A_9),B_10)),or(not(or(C_11,A_9)),or(C_11,B_10)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_6785,plain,
! [A_804,B_805,C_806,B_807] :
( theorem(or(not(or(not(A_804),B_805)),or(not(or(C_806,A_804)),B_807)))
| ~ theorem(or(not(or(C_806,B_805)),B_807)) ),
inference(resolution,[status(thm)],[c_10,c_1219]) ).
tff(c_27605,plain,
! [B_2687,A_2686,B_2684,C_2685,X_2688] :
( ~ axiom(or(not(X_2688),or(not(A_2686),B_2687)))
| theorem(or(not(X_2688),or(not(or(C_2685,A_2686)),B_2684)))
| ~ theorem(or(not(or(C_2685,B_2687)),B_2684)) ),
inference(resolution,[status(thm)],[c_6785,c_16]) ).
tff(c_185036,plain,
! [C_9550,B_9552,A_9554,A_9551,C_9553] :
( theorem(or(not(or(A_9554,or(not(A_9551),C_9553))),or(not(or(C_9550,A_9551)),B_9552)))
| ~ theorem(or(not(or(C_9550,or(A_9554,C_9553))),B_9552)) ),
inference(resolution,[status(thm)],[c_8,c_27605]) ).
tff(c_18,plain,
~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_185075,plain,
~ theorem(or(not(or(p,or(p,r))),or(p,r))),
inference(resolution,[status(thm)],[c_185036,c_18]) ).
tff(c_185099,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31688,c_185075]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 14:00:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 182.59/168.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 182.59/168.10
% 182.59/168.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 182.59/168.14
% 182.59/168.14 Inference rules
% 182.59/168.14 ----------------------
% 182.59/168.14 #Ref : 0
% 182.59/168.14 #Sup : 41612
% 182.59/168.14 #Fact : 0
% 182.59/168.14 #Define : 0
% 182.59/168.14 #Split : 0
% 182.59/168.14 #Chain : 0
% 182.59/168.14 #Close : 0
% 182.59/168.14
% 182.59/168.14 Ordering : KBO
% 182.59/168.14
% 182.59/168.14 Simplification rules
% 182.59/168.14 ----------------------
% 182.59/168.14 #Subsume : 2037
% 182.59/168.14 #Demod : 13584
% 182.59/168.14 #Tautology : 13594
% 182.59/168.14 #SimpNegUnit : 0
% 182.59/168.14 #BackRed : 0
% 182.59/168.14
% 182.59/168.14 #Partial instantiations: 0
% 182.59/168.14 #Strategies tried : 1
% 182.59/168.14
% 182.59/168.14 Timing (in seconds)
% 182.59/168.14 ----------------------
% 182.59/168.14 Preprocessing : 0.43
% 182.59/168.14 Parsing : 0.24
% 182.59/168.14 CNF conversion : 0.02
% 182.59/168.14 Main loop : 166.63
% 182.59/168.14 Inferencing : 14.53
% 182.59/168.14 Reduction : 65.41
% 182.59/168.14 Demodulation : 56.80
% 182.59/168.14 BG Simplification : 0.21
% 182.59/168.14 Subsumption : 78.95
% 182.59/168.14 Abstraction : 0.40
% 182.59/168.14 MUC search : 0.00
% 182.59/168.14 Cooper : 0.00
% 182.59/168.14 Total : 167.13
% 182.59/168.14 Index Insertion : 0.00
% 182.59/168.14 Index Deletion : 0.00
% 182.59/168.14 Index Matching : 0.00
% 182.59/168.14 BG Taut test : 0.00
%------------------------------------------------------------------------------